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GATE | GATE-CS-2004 | Question 90

  • Last Updated : 19 Nov, 2018
Geek Week

Consider a multiplexer with X and Y as data inputs and Z as control input. Z = 0 selects input X, and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function f = T + R, without using any additional hardware ?
(A) R to X, 1 to Y, T to Z
(B) T to X, R to Y, T to Z
(C) T to X, R to Y, 0 to Z
(D) R to X, 0 to Y, T to Z

Answer: (A)

Explanation: For mux we will be having equation like z’x+zy—–(1)

Now putting X=R , Y=1 and Z=T  in eq(1) we find—-

  • T’R+T(1)
  • T+T’R
  • T+R (SINCE a+a’b=a+b)

So ans is (A) part.

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